Remember11 is INCREDIBLE about this. It basically takes place in two different settings at once, and there are two protagonists- the driving force of the story being that THEY KEEP SWITCHING BODIES. Essentially it's a huge perspective shift, and even besides that the game incorporates two routes- one for each protagonist. Let's say that you did something you obviously shouldn't have as Satoru in Satoru's body, and died on the third day. If you start to play the Kokoro route right after, you die on the third day without warning when you shift perspectives- because Satoru died in that body on the third day!
Definitely play R11 if you want to read a VN about shifts in perspective.
Ever17, also of the Infinity series, plays with perspective as well. Two routes are from one perspective while two of them are from another perspective.
I also agree that The House In Fata Morgana frames its story beautifully, but it isn't necessarily a perspective shift per se. Check it out anyway,
999 employs perspective in a fucking LEGENDARY way but I can't explain more.